Selected values of a continuous even function are shown below. ).

1. Find $f(-1)$, $f(−2)$ and $f(−3)$.

   Hint (a):

   Definition of an even function: $f(-a) = f(a)$.

   More Help (a):

   Since $f(1) = 2$ then, by definition, $f(-1) = 2$ as well.

2. Sketch a possible graph of $f(x)$ on the domain $-3 ≤ x ≤ 3$.

3. Sketch another possible graph of $f(x)$ on the domain $−3 ≤ x ≤ 3$.

   Hint (c):

   There are many ways to connect the points, just make sure you maintain symmetry over the $y$-axis.

4. Could the graph of $f(x)$ be a parabolic function? If so, find a possible equation of $f(x)$. If not, explain.

   Hint (d):

   Can you draw a parabola through all of these points? Give it a try.